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Finding the Fourth Proportional to 388,343.16, 581,727.42 and 200,961

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Solution

The fourth proportional to 388,343.16, 581,727.42 and 200,961 is: 301,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,343.16 : 581,727.42 = 200,961 : x
  2. Step 2: Convert to fraction form
    388,343.16/581,727.42 = 200,961/x
  3. Step 3: Cross multiply
    388,343.16x = 581,727.42 × 200,961
  4. Step 4: Simplify right side
    388,343.16x = 116,904,524,050.62
  5. Step 5: Solve for x
    x = 116,904,524,050.62/388,343.16
  6. Step 6: Final answer
    x = 301,034.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.